The solid shown is constructed from a cylinder and two hemispheres with dimensions as shown. Find the volume of this solid to th
e nearest cubic unit.
1 answer:
Answer:
Volume of solid = 10,466.67 unit² (Approx)
Step-by-step explanation:
Given:
Height of cylinder = 20 unit
Radius of hemisphere = 10 unit
Radius of cylinder = 10 unit
Two hemisphere = 1 sphere
Find:
Volume of solid.
Computation:
Volume of solid = Volume of cylinder + Volume of sphere
Volume of solid = πr²h + 4 /3[πr]³
Volume of solid = π[r²h + (4 /3)(r)³]
Volume of solid = 3.14[(10)²(20) + (4 /3)(10)³]
Volume of solid = 3.14[2,000 + 1333.34]
Volume of solid = 10,466.67 unit² (Approx)
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Answer:
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Step-by-step explanation:
The differential equation is:
Integrate the differential equation to determine the equation of P in terms of <em>t</em> as follows:
At <em>t</em> = 0 the value of <em>P</em> is 300 million.
Determine the value of constant C as follows:
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Then for the year 1961, the population is: P (1) = 301
Then .
Determine <em>k</em> as follows:
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Thus, the country's population for the year 2030 is 368.8 million.
Answer:
Step-by-step explanation:
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